It's often argued that physics (my primary field of interest) is a subset of maths, and maths a subset of philosophy. To me it seems maths is worthless without application. Without maths we wouldn't be as far as we are in answering the fundamental philosophical questions of why we're here, how the universe came in to existence etc. But without these questions maths is just a cold, grey sea of numbers with no meaning. The conclusion that this gives me is as follows: applied maths needs pure maths to exist in the first place, pure maths needs applied maths to be useful. I voted for applied, but not without hesitation, I'd have preferred if there were more specific options to choose from.

Yes. Philosophy is by far the most fundamental of all disciplines (and this is coming from a maths student), logic is a sub-discipline of philosophy. Without it maths wouldn't exist in the first place, however when it comes to the sort of maths talked about here, from calculus to topology, it's easy to forget that.

(Original post by TenOfThem)
After all, as with anything, Philosophy is a branch of Mathematics

Philosophy gave birth to maths, and uses it as a tool to answer questions, however philosophy is a broad study; ranging from that which borders on cosmology, to morals, politics and other things that concern human interaction and have no relation to maths at all.

(Original post by James94)
Without maths we wouldn't be as far as we are in answering the fundamental philosophical questions of why we're here, how the universe came in to existence etc. But without these questions maths is just a cold, grey sea of numbers with no meaning. The conclusion that this gives me is as follows: applied maths needs pure maths to exist in the first place, pure maths needs applied maths to be useful.

(Original post by HGerhard)
Philosophy gave birth to maths, and uses it as a tool to answer questions, however philosophy is a broad study;

I guess you are the one who negged me, so I would turn it back.
Who is the first Western philosopher? Did he try to extend Greek's current understanding on Mathematics and knowledge about Astronomy, or not?